We have studied superconductivity, superfluid Helium 3 and cold atom from the view point of topological quantum phenomena. We have clarified the topological origin of surface Andreev bound state in unconventional superconductor and obtained the topological invariant in high Tc cuprate hosting flat band zero energy state. New type of twisted Andreev bound state has been predicted in doped topological insulator CuxBi2Se3 or doped topological crystal insulator InSnTe. In these materials, remaining surface state with strong spin momentum locking seriously influences on the surface state. It is also clarified that Majorana fermion always accompany odd-frequency pairing. Also, we have clarified new type of topological excitation in cold atom system. Overlooking our obtained various results in superconductivity, topological insulator, cold atom and superfluid helium, we can design new exotic system hosting topological edge state based on the concept of topology in condensed matter system.